Question

Use the image to answer the question.

An illustration shows a 3 D triangular prism with the triangular face as a right triangle. The edges that are not visible are represented by dashed lines. The length and base of the triangular prism measure 19 inches and 8 inches. The perpendicular side of the triangular face measures 6 inches and the hypotenuse measures 10 inches.

The diagram represents a model of a ramp the skateboard club wants to create at the neighborhood skate park. If one pint of paint covers 200 square inches, how many pints of paint will the club need to purchase? Paint is only sold in whole pints.

(1 point)
Number of pints of paint=
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Answer 1

[AI-generated answer — Bot GPT 3.5]

First, we need to calculate the surface area of the triangular prism. The formula for the surface area of a triangular prism is:

Surface Area = 2(base area) + (perpendicular side x base length) + (hypotenuse x base length)

Base area = 1/2 x base x perpendicular side
Base area = 1/2 x 8 x 6
Base area = 24 square inches

Surface Area = 2(24) + (6 x 8) + (10 x 8)
Surface Area = 48 + 48 + 80
Surface Area = 176 square inches

Now, we need to determine how many pints of paint are needed to cover 176 square inches. Since 1 pint of paint covers 200 square inches, we need to calculate:

Number of pints of paint = 176 / 200
Number of pints of paint = 0.88

Since paint is only sold in whole pints, the skateboard club will need to purchase 1 pint of paint to cover the entire ramp.